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Find the measure of each angle ​

Find the measure of each angle ​-example-1
User ICurious
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2 Answers

3 votes

Answer:

Explanation:

angle A is 90 degrees. a triangle is 180 degrees when you add up all the angles. so you take 90 + 3n + 1 + 4n + 14 = 180 so first you need to add 3n and 4n so youll get 90+7n+1+14=180 then you can add the other numbers togther ( 1, 90, 14) you should get 7n + 105 = 180. then subtract 105 from 180 which gives you 75. so youll have 7n = 75 then you divide 75 by 7 and get 11 if you round it up. then all you have to do is plug 11 into the angles equations

User Yeshi
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7.3k points
3 votes

Explanation:

It is a right angled triangle

So

90° + 3n + 1 ° + 2n + 14° = 180°< Sum of angles of triangle >

105° + 5n = 180°

5n = 180° - 105°

5n = 75°

Therefore n = 15°

Now. measures of each angle

3n + 1° = 3*15° + 1° = 46°

2n + 14° = 2* 15° + 14° = 44°

User Lhahn
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7.5k points